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Simplifying x = 2x2 + 578 Reorder the terms: x = 578 + 2x2 Solving x = 578 + 2x2 Solving for variable 'x'. Reorder the terms: -578 + x + -2x2 = 578 + 2x2 + -578 + -2x2 Reorder the terms: -578 + x + -2x2 = 578 + -578 + 2x2 + -2x2 Combine like terms: 578 + -578 = 0 -578 + x + -2x2 = 0 + 2x2 + -2x2 -578 + x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -578 + x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 289 + -0.5x + x2 = 0 Move the constant term to the right: Add '-289' to each side of the equation. 289 + -0.5x + -289 + x2 = 0 + -289 Reorder the terms: 289 + -289 + -0.5x + x2 = 0 + -289 Combine like terms: 289 + -289 = 0 0 + -0.5x + x2 = 0 + -289 -0.5x + x2 = 0 + -289 Combine like terms: 0 + -289 = -289 -0.5x + x2 = -289 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.5x + 0.25 + x2 = -289 + 0.25 Reorder the terms: 0.25 + -0.5x + x2 = -289 + 0.25 Combine like terms: -289 + 0.25 = -288.75 0.25 + -0.5x + x2 = -288.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -288.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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